<!doctype html>
<html lang="en-US">
<head>
  <meta http-equiv="Content-Type" content="text/html;charset=utf-8">
  <title>libMesh - A C++ Finite Element Library</title>
  <meta name="author" content="libMesh development team">
  <link rel="stylesheet" type="text/css" media="all" href="../styles.css">
  <link rel="stylesheet" type="text/css" media="all" href="../doxygen_stylesheet.css">
</head>

<body>
  <nav id="fixedbar">
    <ul id="fixednav">
      <li><a href="../index.html">Home</a></li>
      <li><a href="../support.html">About Us</a></li>
      <li><a href="../publications.html">Publications</a></li>
      <li><a href="https://github.com/libMesh/libmesh/graphs/contributors">Developers</a></li>
      <li><a href="../installation.html">Installation</a></li>
      <li><a href="../examples.html">Examples</a></li>
     <li><a href="../doxygen/index.html">Documentation</a></li>
    </ul>
  </nav>

  <div id="w">
    <header id="logo"><a href="../index.html"><span id="logobg">SomeWebsiteLogo</span></a></header>

    <nav id="navigation">
      <ul>
        <li><a href="../index.html">Home</a></li>
        <li><a href="../support.html">About Us</a></li>
        <li><a href="../publications.html">Publications</a></li>
        <li><a href="https://github.com/libMesh/libmesh/graphs/contributors">Developers</a></li>
        <li><a href="../installation.html">Installation</a></li>
        <li><a href="../examples.html">Examples</a></li>
        <li><a href="../doxygen/index.html">Documentation</a></li>
      </ul>
    </nav>

<div id="content">

<br> <h1> Link to the source code for this example: </h1>
<a href="https://github.com/libMesh/libmesh/tree/master/examples/reduced_basis/reduced_basis_ex4" target="_blank">Open reduced_basis_ex4 in new tab.</a>
<a name="output"></a> 
<br><br><br> <h1> The console output of the program: </h1> 
<pre>
***************************************************************
* Running Example reduced_basis_ex4:
*   example-opt -online_mode 0 
***************************************************************
 
*** Warning, This code is untested, experimental, or likely to see future API changes: ../src/reduced_basis/rb_parametrized.C, line 42, compiled Apr 12 2016 at 11:09:26 ***
 Mesh Information:
  elem_dimensions()={2}
  spatial_dimension()=2
  n_nodes()=676
    n_local_nodes()=676
  n_elem()=625
    n_local_elem()=625
    n_active_elem()=625
  n_subdomains()=1
  n_partitions()=1
  n_processors()=1
  n_threads()=1
  processor_id()=0

 EquationSystems
  n_systems()=3
   System #0, "EIM"
    Type "RBConstruction"
    Variables="L2_proj_var"
    Finite Element Types="LAGRANGE", "JACOBI_20_00" 
    Infinite Element Mapping="CARTESIAN" 
    Approximation Orders="FIRST", "THIRD" 
    n_dofs()=676
    n_local_dofs()=676
    n_constrained_dofs()=0
    n_local_constrained_dofs()=0
    n_vectors()=1
    n_matrices()=1
    DofMap Sparsity
      Average  On-Processor Bandwidth <= 8.54438
      Average Off-Processor Bandwidth <= 0
      Maximum  On-Processor Bandwidth <= 9
      Maximum Off-Processor Bandwidth <= 0
    DofMap Constraints
      Number of DoF Constraints = 0
   System #2, "EIM_explicit_sys"
    Type "Explicit"
    Variables="f_EIM"
    Finite Element Types="LAGRANGE", "JACOBI_20_00"
    Infinite Element Mapping="CARTESIAN"
    Approximation Orders="FIRST", "THIRD"
    n_dofs()=676
    n_local_dofs()=676
    n_constrained_dofs()=0
    n_local_constrained_dofs()=0
    n_vectors()=1
    n_matrices()=0
    DofMap Sparsity
      Average  On-Processor Bandwidth <= 0
      Average Off-Processor Bandwidth <= 0
      Maximum  On-Processor Bandwidth <= 0
      Maximum Off-Processor Bandwidth <= 0
    DofMap Constraints
      Number of DoF Constraints = 0
   System #1, "RB"
    Type "RBConstruction"
    Variables="u" 
    Finite Element Types="LAGRANGE", "JACOBI_20_00" 
    Infinite Element Mapping="CARTESIAN" 
    Approximation Orders="FIRST", "THIRD" 
    n_dofs()=676
    n_local_dofs()=676
    n_constrained_dofs()=100
    n_local_constrained_dofs()=100
    n_vectors()=1
    n_matrices()=1
    DofMap Sparsity
      Average  On-Processor Bandwidth <= 8.54438
      Average Off-Processor Bandwidth <= 0
      Maximum  On-Processor Bandwidth <= 9
      Maximum Off-Processor Bandwidth <= 0
    DofMap Constraints
      Number of DoF Constraints = 100
      Average DoF Constraint Length= 0

Initializing training parameters with deterministic training set...
Parameter center_x: log scaling = 0
Parameter center_y: log scaling = 0


RBConstruction parameters:
system name: EIM
Nmax: 20
Greedy relative error tolerance: 0.001
Greedy absolute error tolerance: 1e-12
Do we normalize RB error bound in greedy? 0
Aq operators attached: 0
Fq functions attached: 0
n_outputs: 0
Number of parameters: 2
Parameter center_x: Min = -1, Max = 1
Parameter center_y: Min = -1, Max = 1
n_training_samples: 25
quiet mode? 1


RBEIMConstruction parameters:
best fit type: projection

Assembling inner product matrix
*** Warning, This code is untested, experimental, or likely to see future API changes: ../src/systems/dg_fem_context.C, line 35, compiled Apr 12 2016 at 11:10:02 ***
Initializing parametrized functions in training set...
Completed solve for training sample 1 of 25
Completed solve for training sample 2 of 25
Completed solve for training sample 3 of 25
Completed solve for training sample 4 of 25
Completed solve for training sample 5 of 25
Completed solve for training sample 6 of 25
Completed solve for training sample 7 of 25
Completed solve for training sample 8 of 25
Completed solve for training sample 9 of 25
Completed solve for training sample 10 of 25
Completed solve for training sample 11 of 25
Completed solve for training sample 12 of 25
Completed solve for training sample 13 of 25
Completed solve for training sample 14 of 25
Completed solve for training sample 15 of 25
Completed solve for training sample 16 of 25
Completed solve for training sample 17 of 25
Completed solve for training sample 18 of 25
Completed solve for training sample 19 of 25
Completed solve for training sample 20 of 25
Completed solve for training sample 21 of 25
Completed solve for training sample 22 of 25
Completed solve for training sample 23 of 25
Completed solve for training sample 24 of 25
Completed solve for training sample 25 of 25
Parametrized functions in training set initialized


---- Performing Greedy basis enrichment ----

---- Basis dimension: 0 ----
Performing truth solve at parameter:
center_x: 1.000000e+00
center_y: 1.000000e+00

Enriching the RB space
Updating RB matrices

---- Basis dimension: 1 ----
Performing RB solves on training set
Maximum error bound is 1.04028

Performing truth solve at parameter:
center_x: 5.000000e-01
center_y: 5.000000e-01

Enriching the RB space
Updating RB matrices

---- Basis dimension: 2 ----
Performing RB solves on training set
Maximum error bound is 1.00428

Performing truth solve at parameter:
center_x: -1.000000e+00
center_y: -1.000000e+00

Enriching the RB space
Updating RB matrices

---- Basis dimension: 3 ----
Performing RB solves on training set
Maximum error bound is 1.02817

Performing truth solve at parameter:
center_x: -5.000000e-01
center_y: -5.000000e-01

Enriching the RB space
Updating RB matrices

---- Basis dimension: 4 ----
Performing RB solves on training set
Maximum error bound is 1.00298

Performing truth solve at parameter:
center_x: 1.000000e+00
center_y: -1.000000e+00

Enriching the RB space
Updating RB matrices

---- Basis dimension: 5 ----
Performing RB solves on training set
Maximum error bound is 1.00292

Performing truth solve at parameter:
center_x: -1.000000e+00
center_y: 1.000000e+00

Enriching the RB space
Updating RB matrices

---- Basis dimension: 6 ----
Performing RB solves on training set
Maximum error bound is 0.86594

Performing truth solve at parameter:
center_x: 5.000000e-01
center_y: -5.000000e-01

Enriching the RB space
Updating RB matrices

---- Basis dimension: 7 ----
Performing RB solves on training set
Maximum error bound is 0.816903

Performing truth solve at parameter:
center_x: -5.000000e-01
center_y: 5.000000e-01

Enriching the RB space
Updating RB matrices

---- Basis dimension: 8 ----
Performing RB solves on training set
Maximum error bound is 0.681622

Performing truth solve at parameter:
center_x: 0.000000e+00
center_y: 1.000000e+00

Enriching the RB space
Updating RB matrices

---- Basis dimension: 9 ----
Performing RB solves on training set
Maximum error bound is 0.658046

Performing truth solve at parameter:
center_x: 0.000000e+00
center_y: -1.000000e+00

Enriching the RB space
Updating RB matrices

---- Basis dimension: 10 ----
Performing RB solves on training set
Maximum error bound is 0.606155

Performing truth solve at parameter:
center_x: 1.000000e+00
center_y: 0.000000e+00

Enriching the RB space
Updating RB matrices

---- Basis dimension: 11 ----
Performing RB solves on training set
Maximum error bound is 0.606138

Performing truth solve at parameter:
center_x: -1.000000e+00
center_y: 0.000000e+00

Enriching the RB space
Updating RB matrices

---- Basis dimension: 12 ----
Performing RB solves on training set
Maximum error bound is 0.193607

Performing truth solve at parameter:
center_x: 0.000000e+00
center_y: 0.000000e+00

Enriching the RB space
Updating RB matrices

---- Basis dimension: 13 ----
Performing RB solves on training set
Maximum error bound is 0.184868

Performing truth solve at parameter:
center_x: -1.000000e+00
center_y: 5.000000e-01

Enriching the RB space
Updating RB matrices

---- Basis dimension: 14 ----
Performing RB solves on training set
Maximum error bound is 0.214039

Performing truth solve at parameter:
center_x: -5.000000e-01
center_y: 1.000000e+00

Enriching the RB space
Updating RB matrices

---- Basis dimension: 15 ----
Performing RB solves on training set
Maximum error bound is 0.175349

Performing truth solve at parameter:
center_x: -5.000000e-01
center_y: -1.000000e+00

Enriching the RB space
Updating RB matrices

---- Basis dimension: 16 ----
Performing RB solves on training set
Maximum error bound is 0.163258

Performing truth solve at parameter:
center_x: -1.000000e+00
center_y: -5.000000e-01

Enriching the RB space
Updating RB matrices

---- Basis dimension: 17 ----
Performing RB solves on training set
Maximum error bound is 0.161335

Performing truth solve at parameter:
center_x: 1.000000e+00
center_y: 5.000000e-01

Enriching the RB space
Updating RB matrices

---- Basis dimension: 18 ----
Performing RB solves on training set
Maximum error bound is 0.159752

Performing truth solve at parameter:
center_x: 5.000000e-01
center_y: 1.000000e+00

Enriching the RB space
Updating RB matrices

---- Basis dimension: 19 ----
Performing RB solves on training set
Maximum error bound is 0.123948

Performing truth solve at parameter:
center_x: 5.000000e-01
center_y: -1.000000e+00

Enriching the RB space
Updating RB matrices

---- Basis dimension: 20 ----
Performing RB solves on training set
Maximum error bound is 0.162888

Maximum number of basis functions reached: Nmax = 20.
Perform one more Greedy iteration for error bounds.
Performing truth solve at parameter:
center_x: 1.000000e+00
center_y: -5.000000e-01

Enriching the RB space
Updating RB matrices

---- Basis dimension: 20 ----
Performing RB solves on training set
Maximum error bound is 0.162888

Extra Greedy iteration finished.
Initializing training parameters with deterministic training set...
Parameter center_x: log scaling = 0
Parameter center_y: log scaling = 0


RBConstruction parameters:
system name: RB
Nmax: 15
Greedy relative error tolerance: 0.001
Greedy absolute error tolerance: 1e-12
Do we normalize RB error bound in greedy? 0
Aq operators attached: 1
Fq functions attached: 20
n_outputs: 0
Number of parameters: 2
Parameter center_x: Min = -1, Max = 1
Parameter center_y: Min = -1, Max = 1
n_training_samples: 100
quiet mode? 1

Assembling inner product matrix
Assembling affine operator 1 of 1
Assembling affine vector 1 of 20
Assembling affine vector 2 of 20
Assembling affine vector 3 of 20
Assembling affine vector 4 of 20
Assembling affine vector 5 of 20
Assembling affine vector 6 of 20
Assembling affine vector 7 of 20
Assembling affine vector 8 of 20
Assembling affine vector 9 of 20
Assembling affine vector 10 of 20
Assembling affine vector 11 of 20
Assembling affine vector 12 of 20
Assembling affine vector 13 of 20
Assembling affine vector 14 of 20
Assembling affine vector 15 of 20
Assembling affine vector 16 of 20
Assembling affine vector 17 of 20
Assembling affine vector 18 of 20
Assembling affine vector 19 of 20
Assembling affine vector 20 of 20

---- Performing Greedy basis enrichment ----

---- Basis dimension: 0 ----
Performing RB solves on training set
Maximum error bound is 0.388376

Performing truth solve at parameter:
center_x: 1.111111e-01
center_y: -1.111111e-01

Enriching the RB space
Updating RB matrices
Updating RB residual terms

---- Basis dimension: 1 ----
Performing RB solves on training set
Maximum error bound is 0.176776

Performing truth solve at parameter:
center_x: -5.555556e-01
center_y: 5.555556e-01

Enriching the RB space
Updating RB matrices
Updating RB residual terms

---- Basis dimension: 2 ----
Performing RB solves on training set
Maximum error bound is 0.15644

Performing truth solve at parameter:
center_x: -5.555556e-01
center_y: -5.555556e-01

Enriching the RB space
Updating RB matrices
Updating RB residual terms

---- Basis dimension: 3 ----
Performing RB solves on training set
Maximum error bound is 0.130994

Performing truth solve at parameter:
center_x: 5.555556e-01
center_y: 5.555556e-01

Enriching the RB space
Updating RB matrices
Updating RB residual terms

---- Basis dimension: 4 ----
Performing RB solves on training set
Maximum error bound is 0.0984295

Performing truth solve at parameter:
center_x: 5.555556e-01
center_y: -5.555556e-01

Enriching the RB space
Updating RB matrices
Updating RB residual terms

---- Basis dimension: 5 ----
Performing RB solves on training set
Maximum error bound is 0.0475053

Performing truth solve at parameter:
center_x: 1.000000e+00
center_y: -1.111111e-01

Enriching the RB space
Updating RB matrices
Updating RB residual terms

---- Basis dimension: 6 ----
Performing RB solves on training set
Maximum error bound is 0.0432771

Performing truth solve at parameter:
center_x: -1.000000e+00
center_y: 1.111111e-01

Enriching the RB space
Updating RB matrices
Updating RB residual terms

---- Basis dimension: 7 ----
Performing RB solves on training set
Maximum error bound is 0.0310976

Performing truth solve at parameter:
center_x: -1.111111e-01
center_y: -1.000000e+00

Enriching the RB space
Updating RB matrices
Updating RB residual terms

---- Basis dimension: 8 ----
Performing RB solves on training set
Maximum error bound is 0.0264776

Performing truth solve at parameter:
center_x: 1.111111e-01
center_y: 1.000000e+00

Enriching the RB space
Updating RB matrices
Updating RB residual terms

---- Basis dimension: 9 ----
Performing RB solves on training set
Maximum error bound is 0.0242248

Performing truth solve at parameter:
center_x: -1.000000e+00
center_y: 1.000000e+00

Enriching the RB space
Updating RB matrices
Updating RB residual terms

---- Basis dimension: 10 ----
Performing RB solves on training set
Maximum error bound is 0.0228554

Performing truth solve at parameter:
center_x: 1.000000e+00
center_y: 1.000000e+00

Enriching the RB space
Updating RB matrices
Updating RB residual terms

---- Basis dimension: 11 ----
Performing RB solves on training set
Maximum error bound is 0.0206759

Performing truth solve at parameter:
center_x: -1.000000e+00
center_y: -1.000000e+00

Enriching the RB space
Updating RB matrices
Updating RB residual terms

---- Basis dimension: 12 ----
Performing RB solves on training set
Maximum error bound is 0.0188747

Performing truth solve at parameter:
center_x: 1.000000e+00
center_y: -1.000000e+00

Enriching the RB space
Updating RB matrices
Updating RB residual terms

---- Basis dimension: 13 ----
Performing RB solves on training set
Maximum error bound is 0.00819468

Performing truth solve at parameter:
center_x: -3.333333e-01
center_y: 1.000000e+00

Enriching the RB space
Updating RB matrices
Updating RB residual terms

---- Basis dimension: 14 ----
Performing RB solves on training set
Maximum error bound is 0.00761207

Performing truth solve at parameter:
center_x: 3.333333e-01
center_y: -1.000000e+00

Enriching the RB space
Updating RB matrices
Updating RB residual terms

---- Basis dimension: 15 ----
Performing RB solves on training set
Maximum error bound is 0.00555548

Maximum number of basis functions reached: Nmax = 15

 -------------------------------------------------------------------------------------------------------------------
| Time:           Wed Apr 13 11:03:14 2016                                                                          |
| OS:             Darwin                                                                                            |
| HostName:       peterson-laptop.local                                                                             |
| OS Release:     15.0.0                                                                                            |
| OS Version:     Darwin Kernel Version 15.0.0: Sat Sep 19 15:53:46 PDT 2015; root:xnu-3247.10.11~1/RELEASE_X86_64  |
| Machine:        x86_64                                                                                            |
| Username:       petejw                                                                                            |
| Configuration:  ../configure  'INSTALL=/usr/bin/install -C'                                                       |
|  '--with-methods=opt dbg'                                                                                         |
|  '--prefix=/Users/petejw/projects/libmesh_git/installed'                                                          |
|  '--enable-perflog'                                                                                               |
|  '--enable-tracefiles'                                                                                            |
|  '--disable-blocked-storage'                                                                                      |
|  '--enable-default-comm-world'                                                                                    |
|  '--enable-tecio'                                                                                                 |
|  '--enable-unique-ptr'                                                                                            |
|  '--enable-ifem'                                                                                                  |
|  'PETSC_DIR=/opt/moose/petsc/mpich_petsc-3.6.1/clang-opt-superlu'                                                 |
|  'SLEPC_DIR=/opt/petejw/slepc/3.6.1'                                                                              |
|  'CPPFLAGS= '                                                                                                     |
|  'LIBS= '                                                                                                         |
|  'CPPFLAGS=  '                                                                                                    |
|  'LIBS=  '                                                                                                        |
|  '--disable-netcdf-4'                                                                                             |
|  '--disable-testsets'                                                                                             |
|  'CXX=mpicxx'                                                                                                     |
|  'CC=mpicc'                                                                                                       |
|  'F77=mpif77'                                                                                                     |
|  'FC=mpif90'                                                                                                      |
|  'CPPFLAGS=   '                                                                                                   |
|  'LIBS=   '                                                                                                       |
 -------------------------------------------------------------------------------------------------------------------
 ---------------------------------------------------------------------------------------------------------------------
| libMesh Performance: Alive time=0.648305, Active time=0.610616                                                      |
 ---------------------------------------------------------------------------------------------------------------------
| Event                                  nCalls     Total Time  Avg Time    Total Time  Avg Time    % of Active Time  |
|                                                   w/o Sub     w/o Sub     With Sub    With Sub    w/o S    With S   |
|---------------------------------------------------------------------------------------------------------------------|
|                                                                                                                     |
|                                                                                                                     |
| DofMap                                                                                                              |
|   add_neighbors_to_send_list()         3          0.0003      0.000097    0.0003      0.000097    0.05     0.05     |
|   build_constraint_matrix()            13750      0.0037      0.000000    0.0037      0.000000    0.60     0.60     |
|   build_sparsity()                     2          0.0014      0.000682    0.0017      0.000840    0.22     0.28     |
|   cnstrn_elem_mat_vec()                13750      0.0025      0.000000    0.0025      0.000000    0.40     0.40     |
|   create_dof_constraints()             3          0.0008      0.000277    0.0010      0.000327    0.14     0.16     |
|   distribute_dofs()                    3          0.0003      0.000114    0.0021      0.000688    0.06     0.34     |
|   dof_indices()                        133565     0.0219      0.000000    0.0219      0.000000    3.59     3.59     |
|   prepare_send_list()                  6          0.0000      0.000000    0.0000      0.000000    0.00     0.00     |
|   reinit()                             3          0.0017      0.000573    0.0017      0.000573    0.28     0.28     |
|                                                                                                                     |
| FE                                                                                                                  |
|   compute_shape_functions()            57925      0.0290      0.000001    0.0290      0.000001    4.75     4.75     |
|   init_shape_functions()               2389       0.0017      0.000001    0.0017      0.000001    0.28     0.28     |
|   inverse_map()                        5480       0.0024      0.000000    0.0024      0.000000    0.39     0.39     |
|                                                                                                                     |
| FEMap                                                                                                               |
|   compute_affine_map()                 57925      0.0207      0.000000    0.0207      0.000000    3.38     3.38     |
|   compute_face_map()                   2300       0.0018      0.000001    0.0041      0.000002    0.30     0.68     |
|   init_face_shape_functions()          23         0.0000      0.000001    0.0000      0.000001    0.00     0.00     |
|   init_reference_to_physical_map()     2389       0.0018      0.000001    0.0018      0.000001    0.30     0.30     |
|                                                                                                                     |
| Mesh                                                                                                                |
|   find_neighbors()                     1          0.0014      0.001418    0.0014      0.001418    0.23     0.23     |
|   renumber_nodes_and_elem()            2          0.0000      0.000012    0.0000      0.000012    0.00     0.00     |
|   write()                              1          0.0001      0.000067    0.0004      0.000377    0.01     0.06     |
|                                                                                                                     |
| MeshCommunication                                                                                                   |
|   assign_global_indices()              2          0.0154      0.007680    0.0154      0.007686    2.52     2.52     |
|                                                                                                                     |
| MeshTools::Generation                                                                                               |
|   build_cube()                         1          0.0002      0.000228    0.0002      0.000228    0.04     0.04     |
|                                                                                                                     |
| Parallel                                                                                                            |
|   allgather()                          11         0.0000      0.000000    0.0000      0.000000    0.00     0.00     |
|   probe()                              16         0.0000      0.000001    0.0000      0.000001    0.00     0.00     |
|   receive()                            8          0.0001      0.000017    0.0001      0.000018    0.02     0.02     |
|   send()                               8          0.0000      0.000003    0.0000      0.000003    0.00     0.00     |
|   send_receive()                       8          0.0000      0.000001    0.0000      0.000001    0.00     0.00     |
|                                                                                                                     |
| Parallel::Request                                                                                                   |
|   wait()                               8          0.0000      0.000002    0.0000      0.000002    0.00     0.00     |
|                                                                                                                     |
| Partitioner                                                                                                         |
|   single_partition()                   1          0.0000      0.000021    0.0000      0.000021    0.00     0.00     |
|                                                                                                                     |
| PetscLinearSolver                                                                                                   |
|   solve()                              75         0.0306      0.000407    0.0306      0.000407    5.01     5.01     |
|                                                                                                                     |
| PointLocatorTree                                                                                                    |
|   init(no master)                      1          0.0002      0.000162    0.0002      0.000162    0.03     0.03     |
|   operator()                           440        0.0019      0.000004    0.0021      0.000005    0.31     0.35     |
|                                                                                                                     |
| RBConstruction                                                                                                      |
|   add_scaled_matrix_and_vector()       23         0.0361      0.001569    0.1078      0.004685    5.91     17.65    |
|   clear()                              3          0.0002      0.000055    0.0002      0.000055    0.03     0.03     |
|   compute_Fq_representor_innerprods()  2          0.0006      0.000318    0.0113      0.005648    0.10     1.85     |
|   compute_max_error_bound()            37         0.0031      0.000083    0.2998      0.008103    0.50     49.10    |
|   enrich_RB_space()                    15         0.0015      0.000102    0.0015      0.000102    0.25     0.25     |
|   train_reduced_basis()                2          0.0019      0.000945    0.4004      0.200211    0.31     65.58    |
|   truth_assembly()                     15         0.0038      0.000254    0.0039      0.000261    0.62     0.64     |
|   truth_solve()                        15         0.0004      0.000025    0.0131      0.000873    0.06     2.14     |
|   update_RB_system_matrices()          15         0.0028      0.000189    0.0028      0.000189    0.46     0.46     |
|   update_residual_terms()              15         0.0063      0.000417    0.0143      0.000952    1.02     2.34     |
|                                                                                                                     |
| RBEIMAssembly                                                                                                       |
|   evaluate_basis_function              12500      0.0133      0.000001    0.0304      0.000002    2.17     4.97     |
|                                                                                                                     |
| RBEIMConstruction                                                                                                   |
|   compute_best_fit_error()             525        0.0096      0.000018    0.0134      0.000026    1.56     2.20     |
|   enrich_RB_space()                    21         0.0161      0.000768    0.0377      0.001794    2.64     6.17     |
|   get_explicit_sys_subvector()         250        0.0054      0.000022    0.0054      0.000022    0.89     0.89     |
|   init_dof_map_between_systems()       1          0.0002      0.000225    0.0005      0.000497    0.04     0.08     |
|   set_explicit_sys_subvector()         275        0.0082      0.000030    0.0082      0.000030    1.35     1.35     |
|   truth_solve()                        571        0.0624      0.000109    0.0980      0.000172    10.23    16.05    |
|   update_RB_system_matrices()          21         0.0055      0.000264    0.0178      0.000846    0.91     2.91     |
|                                                                                                                     |
| RBEIMEvaluation                                                                                                     |
|   legacy_write_offline_data_to_files() 1          0.0006      0.000556    0.0025      0.002513    0.09     0.41     |
|   rb_solve()                           1633       0.0093      0.000006    0.0093      0.000006    1.52     1.52     |
|                                                                                                                     |
| RBEvaluation                                                                                                        |
|   clear()                              3          0.0001      0.000038    0.0001      0.000038    0.02     0.02     |
|   compute_residual_dual_norm()         1600       0.2603      0.000163    0.2603      0.000163    42.62    42.62    |
|   legacy_write_offline_data_to_files() 2          0.0051      0.002554    0.0051      0.002554    0.84     0.84     |
|   rb_solve()                           1600       0.0135      0.000008    0.2832      0.000177    2.21     46.37    |
|   resize_data_structures()             2          0.0000      0.000010    0.0000      0.000010    0.00     0.00     |
|   write_out_basis_functions()          2          0.0002      0.000095    0.0196      0.009805    0.03     3.21     |
|   write_out_vectors()                  2          0.0039      0.001927    0.0194      0.009710    0.63     3.18     |
|                                                                                                                     |
| XdrIO                                                                                                               |
|   write()                              1          0.0003      0.000309    0.0003      0.000309    0.05     0.05     |
 ---------------------------------------------------------------------------------------------------------------------
| Totals:                                309251     0.6106                                          100.00            |
 ---------------------------------------------------------------------------------------------------------------------

 
***************************************************************
* Done Running Example reduced_basis_ex4:
*   example-opt -online_mode 0 
***************************************************************
***************************************************************
* Running Example reduced_basis_ex4:
*   example-opt -online_mode 1 
***************************************************************
 
*** Warning, This code is untested, experimental, or likely to see future API changes: ../src/reduced_basis/rb_parametrized.C, line 42, compiled Apr 12 2016 at 11:09:26 ***
 Mesh Information:
  elem_dimensions()={2}
  spatial_dimension()=2
  n_nodes()=676
    n_local_nodes()=676
  n_elem()=625
    n_local_elem()=625
    n_active_elem()=625
  n_subdomains()=1
  n_partitions()=1
  n_processors()=1
  n_threads()=1
  processor_id()=0

 EquationSystems
  n_systems()=3
   System #0, "EIM"
    Type "RBConstruction"
    Variables="L2_proj_var"
    Finite Element Types="LAGRANGE", "JACOBI_20_00" 
    Infinite Element Mapping="CARTESIAN" 
    Approximation Orders="FIRST", "THIRD" 
    n_dofs()=676
    n_local_dofs()=676
    n_constrained_dofs()=0
    n_local_constrained_dofs()=0
    n_vectors()=1
    n_matrices()=1
    DofMap Sparsity
      Average  On-Processor Bandwidth <= 8.54438
      Average Off-Processor Bandwidth <= 0
      Maximum  On-Processor Bandwidth <= 9
      Maximum Off-Processor Bandwidth <= 0
    DofMap Constraints
      Number of DoF Constraints = 0
   System #2, "EIM_explicit_sys"
    Type "Explicit"
    Variables="f_EIM"
    Finite Element Types="LAGRANGE", "JACOBI_20_00"
    Infinite Element Mapping="CARTESIAN"
    Approximation Orders="FIRST", "THIRD"
    n_dofs()=676
    n_local_dofs()=676
    n_constrained_dofs()=0
    n_local_constrained_dofs()=0
    n_vectors()=1
    n_matrices()=0
    DofMap Sparsity
      Average  On-Processor Bandwidth <= 0
      Average Off-Processor Bandwidth <= 0
      Maximum  On-Processor Bandwidth <= 0
      Maximum Off-Processor Bandwidth <= 0
    DofMap Constraints
      Number of DoF Constraints = 0
   System #1, "RB"
    Type "RBConstruction"
    Variables="u" 
    Finite Element Types="LAGRANGE", "JACOBI_20_00" 
    Infinite Element Mapping="CARTESIAN" 
    Approximation Orders="FIRST", "THIRD" 
    n_dofs()=676
    n_local_dofs()=676
    n_constrained_dofs()=100
    n_local_constrained_dofs()=100
    n_vectors()=1
    n_matrices()=1
    DofMap Sparsity
      Average  On-Processor Bandwidth <= 8.54438
      Average Off-Processor Bandwidth <= 0
      Maximum  On-Processor Bandwidth <= 9
      Maximum Off-Processor Bandwidth <= 0
    DofMap Constraints
      Number of DoF Constraints = 100
      Average DoF Constraint Length= 0

center_x: -6.000000e-01
center_y: 7.000000e-01


 -------------------------------------------------------------------------------------------------------------------
| Time:           Wed Apr 13 11:03:14 2016                                                                          |
| OS:             Darwin                                                                                            |
| HostName:       peterson-laptop.local                                                                             |
| OS Release:     15.0.0                                                                                            |
| OS Version:     Darwin Kernel Version 15.0.0: Sat Sep 19 15:53:46 PDT 2015; root:xnu-3247.10.11~1/RELEASE_X86_64  |
| Machine:        x86_64                                                                                            |
| Username:       petejw                                                                                            |
| Configuration:  ../configure  'INSTALL=/usr/bin/install -C'                                                       |
|  '--with-methods=opt dbg'                                                                                         |
|  '--prefix=/Users/petejw/projects/libmesh_git/installed'                                                          |
|  '--enable-perflog'                                                                                               |
|  '--enable-tracefiles'                                                                                            |
|  '--disable-blocked-storage'                                                                                      |
|  '--enable-default-comm-world'                                                                                    |
|  '--enable-tecio'                                                                                                 |
|  '--enable-unique-ptr'                                                                                            |
|  '--enable-ifem'                                                                                                  |
|  'PETSC_DIR=/opt/moose/petsc/mpich_petsc-3.6.1/clang-opt-superlu'                                                 |
|  'SLEPC_DIR=/opt/petejw/slepc/3.6.1'                                                                              |
|  'CPPFLAGS= '                                                                                                     |
|  'LIBS= '                                                                                                         |
|  'CPPFLAGS=  '                                                                                                    |
|  'LIBS=  '                                                                                                        |
|  '--disable-netcdf-4'                                                                                             |
|  '--disable-testsets'                                                                                             |
|  'CXX=mpicxx'                                                                                                     |
|  'CC=mpicc'                                                                                                       |
|  'F77=mpif77'                                                                                                     |
|  'FC=mpif90'                                                                                                      |
|  'CPPFLAGS=   '                                                                                                   |
|  'LIBS=   '                                                                                                       |
 -------------------------------------------------------------------------------------------------------------------
 ----------------------------------------------------------------------------------------------------------------------
| libMesh Performance: Alive time=0.037008, Active time=0.029823                                                       |
 ----------------------------------------------------------------------------------------------------------------------
| Event                                   nCalls     Total Time  Avg Time    Total Time  Avg Time    % of Active Time  |
|                                                    w/o Sub     w/o Sub     With Sub    With Sub    w/o S    With S   |
|----------------------------------------------------------------------------------------------------------------------|
|                                                                                                                      |
|                                                                                                                      |
| DofMap                                                                                                               |
|   add_neighbors_to_send_list()          3          0.0003      0.000091    0.0003      0.000091    0.92     0.92     |
|   build_sparsity()                      2          0.0013      0.000672    0.0016      0.000813    4.51     5.46     |
|   create_dof_constraints()              3          0.0008      0.000273    0.0010      0.000317    2.74     3.19     |
|   distribute_dofs()                     3          0.0003      0.000103    0.0019      0.000617    1.04     6.21     |
|   dof_indices()                         3750       0.0005      0.000000    0.0005      0.000000    1.78     1.78     |
|   prepare_send_list()                   6          0.0000      0.000000    0.0000      0.000000    0.01     0.01     |
|   reinit()                              3          0.0015      0.000513    0.0015      0.000513    5.16     5.16     |
|                                                                                                                      |
| EquationSystems                                                                                                      |
|   build_solution_vector()               1          0.0009      0.000901    0.0013      0.001330    3.02     4.46     |
|                                                                                                                      |
| ExodusII_IO                                                                                                          |
|   write_nodal_data()                    1          0.0014      0.001397    0.0014      0.001397    4.68     4.68     |
|                                                                                                                      |
| Mesh                                                                                                                 |
|   find_neighbors()                      2          0.0010      0.000489    0.0010      0.000489    3.28     3.28     |
|   renumber_nodes_and_elem()             2          0.0000      0.000010    0.0000      0.000010    0.07     0.07     |
|                                                                                                                      |
| MeshCommunication                                                                                                    |
|   assign_global_indices()               2          0.0151      0.007539    0.0151      0.007546    50.56    50.61    |
|                                                                                                                      |
| MeshOutput                                                                                                           |
|   write_equation_systems()              1          0.0000      0.000018    0.0027      0.002745    0.06     9.20     |
|                                                                                                                      |
| MeshTools::Generation                                                                                                |
|   build_cube()                          1          0.0002      0.000197    0.0002      0.000197    0.66     0.66     |
|                                                                                                                      |
| Parallel                                                                                                             |
|   allgather()                           11         0.0000      0.000000    0.0000      0.000000    0.01     0.01     |
|   probe()                               8          0.0000      0.000003    0.0000      0.000003    0.07     0.07     |
|   receive()                             8          0.0001      0.000007    0.0001      0.000007    0.18     0.19     |
|   send()                                8          0.0000      0.000005    0.0000      0.000005    0.14     0.14     |
|   send_receive()                        8          0.0000      0.000001    0.0000      0.000001    0.04     0.04     |
|                                                                                                                      |
| Parallel::Request                                                                                                    |
|   wait()                                8          0.0000      0.000002    0.0000      0.000002    0.05     0.05     |
|                                                                                                                      |
| Partitioner                                                                                                          |
|   set_node_processor_ids()              1          0.0000      0.000017    0.0000      0.000017    0.06     0.06     |
|   single_partition()                    2          0.0000      0.000010    0.0000      0.000010    0.07     0.07     |
|                                                                                                                      |
| RBConstruction                                                                                                       |
|   clear()                               3          0.0001      0.000019    0.0001      0.000019    0.19     0.19     |
|   load_rb_solution()                    1          0.0000      0.000012    0.0000      0.000012    0.04     0.04     |
|                                                                                                                      |
| RBEIMConstruction                                                                                                    |
|   load_rb_solution()                    1          0.0000      0.000032    0.0000      0.000032    0.11     0.11     |
|                                                                                                                      |
| RBEIMEvaluation                                                                                                      |
|   legacy_read_offline_data_from_files() 1          0.0002      0.000186    0.0007      0.000658    0.62     2.21     |
|   rb_solve()                            1          0.0001      0.000083    0.0001      0.000083    0.28     0.28     |
|                                                                                                                      |
| RBEvaluation                                                                                                         |
|   clear()                               3          0.0000      0.000014    0.0000      0.000014    0.14     0.14     |
|   compute_residual_dual_norm()          1          0.0005      0.000453    0.0005      0.000453    1.52     1.52     |
|   legacy_read_offline_data_from_files() 2          0.0005      0.000269    0.0006      0.000279    1.81     1.87     |
|   rb_solve()                            1          0.0001      0.000075    0.0006      0.000611    0.25     2.05     |
|   read_in_basis_functions()             2          0.0000      0.000007    0.0197      0.009853    0.05     66.08    |
|   read_in_vectors_from_multiple_files() 2          0.0045      0.002228    0.0197      0.009846    14.94    66.03    |
|   resize_data_structures()              2          0.0000      0.000010    0.0000      0.000010    0.06     0.06     |
|                                                                                                                      |
| XdrIO                                                                                                                |
|   read()                                1          0.0003      0.000265    0.0003      0.000265    0.89     0.89     |
 ----------------------------------------------------------------------------------------------------------------------
| Totals:                                 3855       0.0298                                          100.00            |
 ----------------------------------------------------------------------------------------------------------------------

 
***************************************************************
* Done Running Example reduced_basis_ex4:
*   example-opt -online_mode 1 
***************************************************************
</pre>
</div>

<script type="text/javascript" src="http://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<script type="text/javascript">
$(document).ready(function(){
  $(window).on('scroll',function() {
    var scrolltop = $(this).scrollTop();

    if(scrolltop >= 215) {
      $('#fixedbar').fadeIn(250);
    }

    else if(scrolltop <= 210) {
      $('#fixedbar').fadeOut(250);
    }
  });
});
</script>

<!-- Google Analytics stuff -->
<script type="text/javascript">
  var _gaq = _gaq || [];
  _gaq.push(['_setAccount', 'UA-24978333-1']);
  _gaq.push(['_trackPageview']);
  (function() {
    var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true;
    ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js';
    var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s);
  })();
</script>

</body>
</html>
